Generalized algebraic Morse inequalities and jet differentials
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algebraicinequalitiesmorsedemaillydifferentialsproofbonaverocomplex
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We give a fully algebraic proof of an important theorem of Demailly, stating the existence of many Green-Griffiths jet differentials on a complex projective manifold of general type. To this end, we introduce a new algebraic version of the Morse inequalities, which we then use in our proof as an algebraic counterpart to Demailly's and Bonavero's holomorphic Morse inequalities.
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Cited by 1 Pith paper
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Vanishing of Invariant 2-Jet Differentials and Improved Hyperbolicity Degree Bounds in Dimension Two
Improved Kobayashi hyperbolicity bounds: generic surfaces in P^3 of degree >=17 and curve complements in P^2 of degree >=12, via vanishing of negatively twisted invariant 2-jet differentials.
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